284584906225 has 9 divisors (see below), whose sum is σ = 352888591233. Its totient is φ = 227665791120.

The previous prime is 284584906223. The next prime is 284584906253. The reversal of 284584906225 is 522609485482.

The square root of 284584906225 is 533465.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4218892209 + 280366014016 = 64953^2 + 529496^2 .

It is not a de Polignac number, because 284584906225 - 2¹ = 284584906223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (284584906223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2613979 + ... + 2720671.

Almost surely, 2^284584906225 is an apocalyptic number.

284584906225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

284584906225 is the 533465-th square number.

284584906225 is the 266733-rd centered octagonal number.

It is an amenable number.

284584906225 is a deficient number, since it is larger than the sum of its proper divisors (68303685008).

284584906225 is an frugal number, since it uses more digits than its factorization.

284584906225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213396 (or 106698 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 284584906225 in words is "two hundred eighty-four billion, five hundred eighty-four million, nine hundred six thousand, two hundred twenty-five".